Reading Assignments Lectures #5-6& PS#2: Chapter 3 of Oppenheim and Willsky(O& w) Lectures #3-4 &z PS#3: Chapters 3&4 of Oppenheim and Willsky(O&w) Exercise for home study (not to be turned in, although we will provide solutions)

Reading Assignments: Lectures #3-4 PS#2: Chapter 2 of O&w Lectures #5-6& PS#3: Chapter 3 of o&w Exercise for home study (not to be turned in, although we will provide solutions)

Last time: Unit circle (=1) in the ROCDTFT X(@) exists Rational transforms correspond to signals that are linear combinations of DT exponentials

Result: Linear phase e simply a rigid shift in time, no distortion Nonlinear phase e distortion as well as shift DT

Can be continuous Trajectory of a space shuttle Mass density in a cross-section of a brain · Can be discrete dNa base sequence Digital image pixels Can be 1-D,2-D,·N-D For this course: Focus on a single(1-D) independent variable which we call“time

Part 2.: introduction to thermochemistry SB&VW-14.1-14.6 Until now, we have specified the heat given to the devices analyzed, and not concerned ourselves with how this heat might be produced. In this section, we examine the issue of how obtain the heat needed for work

Content Decline of Roman Empire and the rise of Christianity Saint Augustine: City of God Saint Thomas Aquinas: God and Human Being Conflict between church and king Church and Medieval Feudalism

Enlightenment A European cultural movement that reached its height in the 18th century but which still resonates today. Enlightenment theories about economics and philosophy still widely held today, have provided the basis for numerous critiques from numerous critics

Two Traditions: Locke and Montesquieu Lock:社会具有先于 政治的存在,且在所 有政治化的社会出现 前,人类已根据天赋 权利组织为群体 Montesquieu:社会是 通过政治而建立起来 的;社会也是一个平 衡,平衡的一边是国 家,另一边是一大堆 受到保护的权利

Key points Roman Empire and Western Civilization Caesar and concept of western civilization Roma and greece Roman civilization: architecture, politic and law achievements Roman law three original elements; Greek philosophy, roman law and hebraic ethics